Reflectionless Schrödinger operators, the dynamics of zeros, and the solitonic Sato formula

DOI10.1215/S0012-7094-00-10423-1zbMath0977.37033OpenAlexW2035791875MaRDI QIDQ1580258

N. Delaunay

Publication date: 16 January 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10423-1

zbMATH Keywords

Schrödinger operatorKdVcompletely integrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators, Connection coefficients for basic Harish-Chandra series, Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models, An explicit characterization of Calogero–Moser systems, Remarks on the zeros of the associated Legendre functions with integral degree, Solitons and almost-intertwining matrices, The expansions of spectral function and the corresponding finite dimensional integrable systems

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